please help!!! will mark brainliest. only 2 questions, and worth 50 pts.

Please Help!!! Will Mark Brainliest. Only 2 Questions, And Worth 50 Pts.

Answers

Answer 1

Answer:

1)  13,434

2)  During 2038 (by 2039)

Step-by-step explanation:

We can model this problem using an exponential equation.

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

a is the initial value b is the base (or growth factor) in decimal formx is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

As the population increases by 3% each year, each year it will be 103% of the previous year.  Therefore, the growth factor in decimal form is 1.03

Given:

a = 8,888b = 1.03 x = time (in years)y = population

Substituting the given values into the equation:

[tex]y=8888(1.03)^x[/tex]

To find the population in 2025:

2025 - 2011 = 14

Therefore, set x = 14 and solve for y:

[tex]\begin{aligned}\implies y &=8888(1.03)^{14}\\& =13433.89747\\& = 13,434\end{aligned}[/tex]

To find the year in which the population will reach 20000, set y = 20000 and solve for x:

[tex]\implies 8888(1.03)^x=20000[/tex]

[tex]\implies (1.03)^x=\dfrac{20000}{8888}[/tex]

[tex]\implies \ln (1.03)^x=\ln \left(\dfrac{20000}{8888}\right)[/tex]

[tex]\implies x\ln (1.03)=\ln \left(\dfrac{20000}{8888}\right)[/tex]

[tex]\implies x=\dfrac{\ln \left(\frac{20000}{8888}\right)}{\ln (1.03)}[/tex]

[tex]\implies x=27.43785809[/tex]

2011 + 27.437... = 2038.437...

Therefore, the population will reach 20,000 some time during 2038.


Related Questions

Solve the system of equations below.

4x – 6y = 30
3x + 7y = 80

x =
, y =

Answers

Answer:

The answer is stated above:

x=15

y=5

The area of the parallelogram below is square meters.

Answers

Answer: 48

Step-by-step explanation:

A = bh = (8)(6) = 48

Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.

Answers

30/40

Step-by-step explanation:

like my guy it's thaymt ez

The profit that Jim got in percentage will be 46.67%.

What is a profit?

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price


Jim buys a wardrobe for £30. He sells it for £44. The profit is calculated as,

Profit = £44 - £30

Profit = £14

The profit in percentage is calculated as,

P = (£14 / £30) x 100

P = 0.4667 x 100

P = 46.67%

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need help with this
The total numbers of A, B, C, D, and F grades are recorded in the table. What was the probability that a student earned a B? (Write as percent rounded to the nearest tenth)​

Answers

Answer:

18.7%

Step-by-step explanation:

P(B) = 114/ (61+114+220+175+39) = 0.1872 = 18.7%

complete the concept map by naming the sampling that you have learned in this module then briefly discuss each

Answers

In systematic sampling, individuals are selected at regular intervals from the sampling frame.

How to explain the sampling?

Stratified sampling- In this method, the population is first divided into subgroups (or strata) who all share a similar characteristic

Clustered sampling.- a clustered sample, subgroups of the population are used as the sampling unit, rather than individuals. The population is divided into subgroups, known as clusters, which are randomly selected to be included in the study

Simple random sampling. -In this case each individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected.

Quota sampling--This method of sampling is often used by market researchers. Interviewers are given a quota of subjects of a specified type to attempt to recruit.

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Biotic and abiotic definitions

Answers

Biotic are living things while on the other hand abiotic are non living things.

Biotic and abiotic

Biotic can be defined as living things or living organism while abiotic on the other hand can be defined as non living things or non living organism.

Examples of biotic are:

BacteriaFungiVirusPlants and animals

Examples of abiotic are:

RadiationAtmosphereTemperatureSoilWater etc

Therefore Biotic are living things while on the other hand abiotic are non living things.

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What is NOT a characteristic of a polyhedron?
A. faces
B. vertices
C. edges
D. lines

Answers

A. Faces

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find the scale factor of cube with a volume of 729m^3 with a cube with a volume of 2,744m^3

Answers

Answer:

  45/7

Step-by-step explanation:

The ratio of volumes is the cube of the scale factor for similar figures.

__

  sf³ = (729 m³)/(2.744 m³) = 9³/1.4³

  sf = ∛(9³/1.4³) = 9/1.4 = 45/7

The scale factor between the larger and smaller cubes is 45/7.

A paint mixture uses a specific blue to yellow ratio. for every 7 gallons of paint, 2 are blue. enter the ratio of yellow paint to total gallons of paint as a fraction?

Answers

Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

I need help ASAP I can’t understand this question help please !

Answers

Answer:

424

Step-by-step explanation:

SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}

therefore: 2 [32 + 60 + 120]

therefore: 64 + 120 + 240

therefore: 360 + 64

therefore: 424

Answer:

424

Step-by-step explanation:

To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.

Hope this helped!

HELP ME WITH THIS WORK PLEASEEE

Answers

Answer:

a is the answer

Step-by-step explanation:

Segment PR is PQ-RE=24-14=10

The probability that a point will be in PR is 10/24 or 0.4166 which rounds up to 0.42

The sum of two numbers is 12.One of the numbers is 8.78.Find the other number.

Answers

answer : 3.22

if the sum of 2 numbers is 12 and one of the numbers is 8.78, then the subtraction of the number from the sum will give you the other number.

24r + 48 write the expression in two other ways

Answers

Answer:

2(12r + 24)
12(r + 2)

The volume of a rectangular pyramid is 176 units³. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 11 units, find the height of the pyramid.​

Answers

Answer:

2.66unit

Step-by-step explanation:

volume=176

l×b

6×11=66

Therefore,176÷66=2.66unit

does someone mind helping me with this problem? Thank you!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 40 {}^{2} = {24}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b² = \sqrt{40² - 24²} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b= \sqrt{1600-576} [/tex]

[tex] {\qquad \sf  \dashrightarrow \: b= \sqrt{1024}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: b = 32 \: units[/tex]

Given:hypotenuse= 40side 1= 24To find:

The length of "b"

Solution:

[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]

[tex] {b}^{2} = {40}^{2} - {24}^{2} [/tex]

[tex]b = 1024[/tex]

[tex]b = \sqrt{1024} [/tex]

[tex]b = 32[/tex]

Hence, the length of "b" is 32.

What is the value of x?

( Not 16 )

Answers

Answer:

37

Step-by-step explanation:

You have to divide 74 by 2x to get your equation.

Answer:

37

Step-by-step explanation:

1-2x=74

2-Divide by two on both sides

3-2x÷2= x

4-74÷2=37

Raymond swam 236 meters in 6 minutes. At this rate, how many meters can he swim in 15 minutes? A. 94.4 OB. 767 OC. 590​

Answers

given:

263 meters in 6 mins

to find:

how many meters can he swim in 15 minutes.

solution:

[tex] \frac{236}{6} [/tex]

[tex] = 39.33[/tex]

[tex]39 .33\times 15[/tex]

[tex] = 589.95[/tex]

[tex]nearest \: whole \: number = 590[/tex]

therefore, he can swim 590 meters in 15 minutes.

answer= option C

Answer:

C: 590 meters

Step-by-step explanation:

Let's start by finding Raymond's rate of swimming for meters per minute. We know that he can swim 236 meters in 6 minutes. So let's divide 236 by 6 to find how far Raymond can swim in 1 minute.

236 / 6 = 39.3

So if we know Raymond can swim 39.3 meters in 1 minute, we multiply 39.3 meters by 15, to find how far he can swim in 15 minutes.

39.3 * 15 = 589.995 which is approximately 590 meters. So, we would chose option C: 590.

Can anyone help solve this

Answers

The graph is proportional because it follows all the rules of properties.

1. It starts at 0,0
2. It is a straight line

Find the general indefinite integral. (use4 x5 dxc for the constant of integration. )

Answers

The indefinite integral means the integration without limit is known as indefinite integral. The indefinite integral of the function (4 + x⁵) is given below.

[tex]4x + \dfrac{x^6}{6} + c[/tex]

What is integration?

It is the reverse of differentiation.

Then the general indefinite integral will be

[tex]\rm \rightarrow \int (4+ x^5) dx \\\\\rightarrow 4x + \dfrac{x^6}{6} + c[/tex]

Where c is the constant of integration.

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For the best set summarized in the boxplot, identify the interquartile range (IQR)

75

57

22

32

Answers

Answer:  22 (choice C)

Work Shown:

IQR = Q3 - Q1

IQR = 70 - 48

IQR = 22

Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.

Fior 50 points solve this problem
Which graph represents the solution to the system of inequalities below?
5x-4y>4
x+y<2

Answers

B. is the correct graph.

See the attachment.

Answer:

Step-by-step explanation:

Use desmos to graph

B is The correct answer for this question

O
3
o A. -
B. 2
OC
3
mly
O D. -2

Answers

Answer:

A. -3/2

Step-by-step explanation:

» Concepts

The slope of a line describes the steepness, or the change in y over the change in x of a line. The formula to find the slope, given two points, is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where we put in the x- and y-coordinates of the two points.

» Application

In this case, we're given two points: (-2, 5) and (4, -4). We have to find the slope of the line containing them, so we must use our aforementioned formula.

» Solution

[tex]\frac{(-4)-(5)}{(4)-(-2)}[/tex] [tex]\frac{-9}{4+2}[/tex] [tex]-\frac{9}{6}[/tex] [tex]-3/2[/tex]

Therefore, the answer is A. -3/2.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

B

Step-by-step explanation:

There is two wholes and one half.

Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball} and that the set A is the set of sports balls that are spherical, what is the complement of Set A?

Answers

2 because it is a baseball card

The set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball}.

What is set?

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

The set A is the set of sports balls that are spherical

Set A={basketball, football, tennis ball, soccer ball, volleyball}

So, the complement of Set A is {baseball}

Because, a baseball infield is in the shape of a square, with each base at a vertex.

Hence, the set A is the set of sports balls that are spherical, the complement of set A is {baseball}.

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Multiply. 3√⋅22√⋅58√⋅18−−√ Enter the expression in the box in simplified radical form.

Answers

The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form

How to multiply the expression?

The expression is given as:

3√2 * 2√5 * 8√18

Multiply the integers

3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18

This gives

3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18

Multiply the radicands

3√2 * 2√5 * 8√18 = 48 *√5 * √36

Take the square root of 36

3√2 * 2√5 * 8√18 = 48 *√5 * 6

Multiply 48 by 6

3√2 * 2√5 * 8√18 = 288√5

Hence, the value of 3√2 * 2√5 * 8√18 is 288√5

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The radius of a circle is 1 meter. What is the circle's circumference?
Use 3.14 for ​.

Answers

Answer:

6.28

Step-by-step explanation:

D = R x 2

D = 2

2 x 3.14 =

6.28

(4h+5) and (h – 6). find the product

Answers

Answer:

4h²– 19h – 30

Step-by-step explanation:

(4h+5)(h-6)

=4h²–24h+5h–30

=4h²–19h–30

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:how\:to\: solve\: }}}[/tex]

➣Given➣ (4h+5) and (h – 6) find the product

Let's start !

[tex] \qquad \sf{➛ \: (4h + 5) \times (h - 6)} \\ [/tex]

★ Opening brackets multiplying nd solving

[tex]\qquad \sf{➛( \: 4h \times h) +( 4h \times - 6) + (5 \times h) + (5 \times - 6)}\qquad \\ \sf{➛\: {4h}^{2} - 24h + 5h - 30 }[/tex]

★ arranging like terms and solving gives

[tex]\qquad \sf{➛ \: {4h}^{2} - 19h - 30\bold\green{✓}}[/tex]

[tex] \rule{70mm}{2.9pt}[/tex]

Hope it helps !

Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.

Step 1:
Substitute x = negative 1 and y = 2 into the expression.
(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3
Step 2:
Simplify the parentheses.
(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3
Step 3:
Evaluate the power to a power.
StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFraction
Step 4:
Use reciprocals and find the value.
StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFraction

In which step did Rena make the first error?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:

step 4

Step-by-step explanation:

Enter an equation and an answer to the following question:


What is the original list price if the discount is $25 and the discount rate is 12%?

Answers

Answer:

$208.30

Step-by-step explanation:

Discount:

Let the original price be $ x

Discount % = 12%

Discount = $ 25

 12% of x = 25

  [tex]\sf \dfrac{12}{100}*x = 25[/tex]

           [tex]\sf x = 25 * \dfrac{100}{12}=\dfrac{25*25}{3}\\[/tex]

              = $ 208.30

Write an algebraic expression for the phrase the quotient of 17 and k

Answers

Answer:

[tex] \frac{17}{k} [/tex]

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